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The purpose of this paper is to study the limiting distribution of special {\it additive functionals} on random planar maps, namely the number of occurrences of a given {\it pattern}. The main result is a central limit theorem for these…

Combinatorics · Mathematics 2024-06-11 Michael Drmota , Eva-Maria Hainzl , Nick Wormald

Journal classification into subject categories is an important aspect in scholarly research evaluation as well as in bibliometric analysis. However, this classification is not standardized, resulting in several different journal subject…

Digital Libraries · Computer Science 2022-12-20 Shir Aviv-Reuven , Ariel Rosenfeld

Individual scores on common factors are required in some applied settings (e.g., business and marketing settings). Common factors are based on reflective indicators, but their scores cannot unambiguously be determined. Therefore, factor…

Applications · Statistics 2017-01-24 André Beauducel , Anja Leue , Norbert Hilger

Detecting anomalies in large sets of observations is crucial in various applications, such as epidemiological studies, gene expression studies, and systems monitoring. We consider settings where the units of interest result in multiple…

Methodology · Statistics 2025-12-22 Ivo V. Stoepker , Rui M. Castro , Ery Arias-Castro

This paper studies the counting problem in random dynamical systems. We noticed that the nature of counting in the random setting is completely different than that of the deterministic systems in the sense that non-exponential growth is…

Dynamical Systems · Mathematics 2024-10-01 Hamid Naderiyan

This note rebuts an old, but recurring claim by Antoniou, Davis and Diakonos [1] that the critical point and associated critical exponents reported in Ref. [2], is based on an erroneous treatment of scaling relations near the critical…

Nuclear Experiment · Physics 2016-07-11 Roy A. Lacey

Generalized linear models are often misspecified due to overdispersion, heteroscedasticity and ignored nuisance variables. Existing quasi-likelihood methods for testing in misspecified models often do not provide satisfactory type-I error…

Methodology · Statistics 2020-05-13 Jesse Hemerik , Jelle J Goeman , Livio Finos

In this paper, we examine the fundamental performance limits of prediction, with or without side information. More specifically, we derive generic lower bounds on the $\mathcal{L}_p$ norms of the prediction errors that are valid for any…

Machine Learning · Computer Science 2021-06-07 Song Fang , Quanyan Zhu

This paper considers an anomaly detection problem in which a detection algorithm assigns anomaly scores to multi-dimensional data points, such as cellular networks' Key Performance Indicators (KPIs). We propose an optimization framework to…

Information Theory · Computer Science 2023-09-01 Ali Maatouk , Fadhel Ayed , Wenjie Li , Yu Wang , Hong Zhu , Jiantao Ye

The application of graph signal processing (GSP) on partially observed graph signals with missing nodes has gained attention recently. This is because processing data from large graphs are difficult, if not impossible due to the lack of…

Signal Processing · Electrical Eng. & Systems 2024-05-17 Hoang-Son Nguyen , Hoi-To Wai

In this work, we study the challenging problem of identifying the irregular status of objects from images in an "open world" setting, that is, distinguishing the irregular status of an object category from its regular status as well as…

Computer Vision and Pattern Recognition · Computer Science 2016-02-16 Peng Wang , Lingqiao Liu , Chunhua Shen , Anton van den Hengel , Heng Tao Shen

In this paper, some points to the convergence analysis performed in the paper [A new computing approach for power signal modeling using fractional adaptive algorithms, ISA Transactions 68 (2017) 189-202] are presented. It is highlighted…

Optimization and Control · Mathematics 2020-03-24 Abdul Wahab , Shujaat Khan , Farrukh Zeeshan Khan

In statistical process control, procedures are applied that require relatively strict conditions for their use. If such assumptions are violated, these methods become inefficient, leading to increased incidence of false signals. Therefore,…

Other Statistics · Statistics 2019-01-15 Gejza Dohnal

The inner-product navigable small world graph (ip-NSW) represents the state-of-the-art method for approximate maximum inner product search (MIPS) and it can achieve an order of magnitude speedup over the fastest baseline. However, to date…

Information Retrieval · Computer Science 2019-12-10 Jie Liu , Xiao Yan , Xinyan Dai , Zhirong Li , James Cheng , Ming-Chang Yang

The major problem in information theoretic analysis of neural responses and other biological data is the reliable estimation of entropy--like quantities from small samples. We apply a recently introduced Bayesian entropy estimator to…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Ilya Nemenman , William Bialek , Rob de Ruyter van Steveninck

Spectral inference provides fast algorithms and provable optimality for latent topic analysis. But for real data these algorithms require additional ad-hoc heuristics, and even then often produce unusable results. We explain this poor…

Machine Learning · Computer Science 2016-11-02 Moontae Lee , David Bindel , David Mimno

The literature on compressed sensing has focused almost entirely on settings where the signal is noiseless and the measurements are contaminated by noise. In practice, however, the signal itself is often subject to random noise prior to…

Information Theory · Computer Science 2015-10-28 Ery Arias-Castro , Yonina C. Eldar

Recent studies have shown that the majority of published computational models in systems biology and physiology are not repeatable or reproducible. There are a variety of reasons for this. One of the most likely reasons is that given how…

Other Quantitative Biology · Quantitative Biology 2021-07-13 Herbert M. Sauro

We point out a major flaw in the conformable calculus. We demonstrate why it fails at defining a fractional derivative and where exactly these tempting conformability properties come from.

Classical Analysis and ODEs · Mathematics 2024-02-12 Ahmed A. Abdelhakim

We consider the matrix completion problem under a form of row/column weighted entrywise sampling, including the case of uniform entrywise sampling as a special case. We analyze the associated random observation operator, and prove that with…

Information Theory · Computer Science 2011-05-17 Sahand Negahban , Martin J. Wainwright